For the first table, the y-values are not equally spaced and the ratios of y are not the same, but by plotting them and observing the graph that results, it looks like the points lie on an exponential curve. The second table is linear because when x changes by 1, y changes by 4. The third table is a quadratic model because even if the first differences of y are not the same, the second differences of y have the same value of 8. The fourth table is exponential because the ratio of y-values is 2, which is the same between each set of numbers.

6 0

3 years ago

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A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?

TEA [102]

The equation of parabola is $x^2=\dfrac{3}{4}y$ .
The canonical equation of parabola is $y^2=2p x$ and this parabola has branches that go in positive direction of x-axis.

Since in your equation x is changed to y and y to x, then the <span>branches of the parabola go in positive y-axis direction, the vertex is placed at the origin.
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8 0

4 years ago